Towards a theory of electrodynamics on fractals: representation of fractal curves and electromagnetic integral equations in fractal domains

This work presents a rigorous setting of integral equations on fractal wire antennas. The proposed approach is based on the extension of Iterated Function System theory to obtain a parametric representation of fractal curves with respect to a normalised curvilinear abscissa, and to define the tangential properties on almost everywhere nondifferentiable curves.